A Relationship between the Cube, Tetrahedron, Octahedron, and Rhombic Dodecahedron

The relationship among the cube, tetrahedron, octahedron, and rhombic dodecahedron is shown by constructing two cubes from a rhombic dodecahedron or a rhombic dodecahedron from two cubes using parts of two tetrahedra and an octahedron. Model makers may use this Demonstration as a guide to prepare interesting physical models.


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